2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/30539A graph is componentwise biconnected if every connected component either is an isolated vertex or is biconnected. We present a linear-time algorithm for the problem of adding the smallest number of edges to make a bipartite graph componentwise biconnected while preserving its bipartiteness. This algorithm has immediate applications for protecting sensitive information in statistical tables.A preliminary version appeared in T. Asano, Y. Igarashi, H. Nagamochi, S. Miyano, and S. Suri, editors, Lecture Notes in Computer Science 1178: Proceedings of the 7th Annual International Symposium on Algorithms and Computation, pages 213--222. Springer-Verlag, New York, NY, 1996Data Structures and AlgorithmsDiscrete MathematicsF.2.2; G.2.2Optimal Augmentation for Bipartite Componentwise Biconnectivity in Linear Timetext